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Finding the Fourth Proportional to 6,641.12, 9,961.56 and 2,024

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Solution

The fourth proportional to 6,641.12, 9,961.56 and 2,024 is: 3,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.12 : 9,961.56 = 2,024 : x
  2. Step 2: Convert to fraction form
    6,641.12/9,961.56 = 2,024/x
  3. Step 3: Cross multiply
    6,641.12x = 9,961.56 × 2,024
  4. Step 4: Simplify right side
    6,641.12x = 20,162,197.44
  5. Step 5: Solve for x
    x = 20,162,197.44/6,641.12
  6. Step 6: Final answer
    x = 3,035.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.